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sergeinik [125]
3 years ago
8

Janine inflated a ball to a radius of 18 cm and another ball to a radius of 12 cm.

Mathematics
2 answers:
nekit [7.7K]3 years ago
6 0

Answer:since your are looking for the volume of the ball, the answer would be 17182.08

Step-by-step explanation:

Sladkaya [172]3 years ago
3 0
Volume of a ball = (4/3)πr³

When r = 18cm, V = (4/3)×3.14×18³ =24416.64 cm³
When r = 12cm, V = (4/3)×3.14×12³ =7234.56 cm³
 Difference = 24416.64 - 7234.56 = 17182.08 cm³

the volume of air in the larger ball is <span>17182.08 cm³ greater than smaller ball </span>


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Given the function f(x) = 4x - 2, explain and show how to find the average rate of change between x = 2 and x = 4.
zalisa [80]

Answer:

The average rate of change between x = 2 and x = 4 is of 4.

Step-by-step explanation:

Average rate of change:

The average rate of change of a function f(x) in an interval [a,b] is given by:

A = \frac{f(b)-f(a)}{b-a}

In this question:

f(x) = 4x - 2, b = 4, a = 2

Thus:

f(b) = f(4) = 4(4) - 2 = 16 - 2 = 14

f(a) = f(2) = 4(2) - 2 = 8 - 2 = 6

Average rate of change:

A = \frac{f(b)-f(a)}{b-a}

A = \frac{14-6}{4-2}

A = \frac{8}{2}

A = 4

The average rate of change between x = 2 and x = 4 is of 4.

7 0
3 years ago
6) Find b(10) in the sequence given by b(n) = -5 + 9(n-1).<br> b(10) =?
Sergeeva-Olga [200]

Answer:

76

Step-by-step explanation:

1. Replace n with 10. The equation will look like:

-5+9(10-1)

2. Remember PEMDAS! The first step in solving the equation is solving whatever is in the parenthesis:

-5+9(9)

3. The next step is exponents, but since there aren't exponents in the equation, we move to multiplication and division. The equation should now look like this:

-5+81

4. Now we move on to addition and subtraction; add the two numbers!

-5+81=76

There's your answer!! Hope this helped :)

6 0
3 years ago
If the mass of a material is 44 grams and the volume of the material is 6 cm^3, what would the density of the material be?
Svetlanka [38]

Density is mass per unit volume.

For the given material that has a mass of 44 grams occupying a volume of 6 cm^3, we divide the mass by the volume, i.e.

density of material = 44 grams / 6 cm^3 = 44/6 grams/cm^3 = 7.3 g/cm^3 (to two significant figures)

4 0
3 years ago
Determine whether the vectors u and v are parallel, orthogonal, or neither. u = (5,4) v = (-10,9)
12345 [234]

Answer:

Neither

Step-by-step explanation:

5 x -10 = -50

4 x 9 = 36

-50 + 36 = -14 and therefore can not be orthogonal

sqrt(25+16)=sqrt(41)

sqrt(100+81)=sqrt(181)

sqrt(41) x sqrt(181) is not equal to -14 so therefore it is not parallel

So the answer is then neither

6 0
3 years ago
Read 2 more answers
-7 2/3 + (-5 1/3) + 8 3/4=?<br> A: 6 7/12<br> B: -4 5/12<br> C: -21 11/12<br> D: 4 2/3
balandron [24]

Its B

Hope this helps!

May I have brainliest please? :D

4 0
3 years ago
Read 2 more answers
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